Question

A motor cyclist rides in a vertical hollow sphere of radius 5 m. Find minimum angular speed required so that it does not loose contact with the sphere at the highest point. (g = 9.8m/s²)

Answer 1

The motor cyclist will not loose contact with the sphere at the highest point if

Centripetal force = Weight of the motor and rider

mrω² = mg

ω² = `g/r`

ω = `sqrt(g/r)`

= `sqrt(9.8/5)`

= `sqrt(1.96)`

= 1.4 rad/s